Question

Julio wears a blue shirt every 3 days. Larry wears a blue shirt every 4 days.on April 12 ,both Julio and Larry wore blue shirt.what is the next date that they will both wear a blue shirt?

Answer 1

To find the next date that they will both wear a blue shirt, we need to find the least common multiple (LCM) of 3 and 4, which is 12.

So, Julio will wear a blue shirt on April 12, 15, 18, 21, and so on.

Larry will wear a blue shirt on April 12, 16, 20, 24, and so on.

The next date they will both wear a blue shirt is when their dates coincide, which is April 24.

Therefore, Julio and Larry will both wear a blue shirt again on April 24.

Explanation:

Answer 2

Explanation:

We need to find the least common multiple (LCM) of 3 and 4, which will give us the number of days after which both Julio and Larry will wear a blue shirt on the same day again.

The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, ...

The multiples of 4 are: 4, 8, 12, 16, 20, 24, 28, ...

We can see that the least common multiple of 3 and 4 is 12, because it is the smallest number that appears in both lists.

This means that Julio and Larry will wear a blue shirt on the same day every 12 days.

Since they both wore blue shirts on April 12, the next date that they will both wear a blue shirt is 12 days later, on April 24.